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Finding the Fourth Proportional to 15,931.64, 23,763.02 and 13,835.16

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Solution

The fourth proportional to 15,931.64, 23,763.02 and 13,835.16 is: 20,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.64 : 23,763.02 = 13,835.16 : x
  2. Step 2: Convert to fraction form
    15,931.64/23,763.02 = 13,835.16/x
  3. Step 3: Cross multiply
    15,931.64x = 23,763.02 × 13,835.16
  4. Step 4: Simplify right side
    15,931.64x = 328,765,183.78
  5. Step 5: Solve for x
    x = 328,765,183.78/15,931.64
  6. Step 6: Final answer
    x = 20,635.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.